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Finding the Fourth Proportional to 78,523.61, 117,738.61 and 53,254.19

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Solution

The fourth proportional to 78,523.61, 117,738.61 and 53,254.19 is: 79,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.61 : 117,738.61 = 53,254.19 : x
  2. Step 2: Convert to fraction form
    78,523.61/117,738.61 = 53,254.19/x
  3. Step 3: Cross multiply
    78,523.61x = 117,738.61 × 53,254.19
  4. Step 4: Simplify right side
    78,523.61x = 6,270,074,468.49
  5. Step 5: Solve for x
    x = 6,270,074,468.49/78,523.61
  6. Step 6: Final answer
    x = 79,849.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.